129998919168 has 180 divisors, whose sum is σ = 389606174100. Its totient is φ = 43331853312.

The previous prime is 129998919161. The next prime is 129998919191. The reversal of 129998919168 is 861919899921.

129998919168 is a `hidden beast` number, since 1 + 299 + 98 + 9 + 191 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 129998919096 and 129998919105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129998919161) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3339883 + ... + 3378581.

It is an arithmetic number, because the mean of its divisors is an integer number (2164478745).

Almost surely, 2^129998919168 is an apocalyptic number.

129998919168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129998919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194803087050).

129998919168 is an abundant number, since it is smaller than the sum of its proper divisors (259607254932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129998919168 is an frugal number, since it uses more digits than its factorization.

129998919168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38741 (or 38704 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 72.

The spelling of 129998919168 in words is "one hundred twenty-nine billion, nine hundred ninety-eight million, nine hundred nineteen thousand, one hundred sixty-eight".